Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions

Details Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions Growth Estimates and Integral Representations of Harmonic and Subharmonic Functions

2009-06-09

arxiv.org/abs/0906.1679v1

Mathematics

Functional Analysis

PhD. Thesis

Scientific paper

There are ten chapters in this dissertation, which focuses on nine contents: growth estimates for a class of subharmonic functions in the half plane; growth estimates for a class of subharmonic functions in the half space; a generalization of harmonic majorants; properties of limit for Poisson integral; a lower bound for a class of harmonic functions in the half space; the Carleman formula of subharmonic functions in the half space; a generalization of the Nevanlinna formula for analytic functions in the right half plane; integral representations of harmonic functions in the half plane; integral representations of harmonic functions in the half space.

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